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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

Zero sets of entire functions of exponential type with additional conditions on the real axis


Author: S. Yu. Favorov
Translated by: the author
Original publication: Algebra i Analiz, tom 20 (2008), nomer 1.
Journal: St. Petersburg Math. J. 20 (2009), 95-100
MSC (2000): Primary 30D15; Secondary 30D10, 30D45
Published electronically: November 13, 2008
MathSciNet review: 2411971
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Abstract | References | Similar Articles | Additional Information

Abstract: A complete description of the zero sets is obtained for some well-known classes of entire functions of exponential growth.


References [Enhancements On Off] (What's this?)

  • 1. B. Ya. Levin, Distribution of zeros of entire functions, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956 (Russian). MR 0087740
    B. Ja. Levin, Distribution of zeros of entire functions, Revised edition, Translations of Mathematical Monographs, vol. 5, American Mathematical Society, Providence, R.I., 1980. Translated from the Russian by R. P. Boas, J. M. Danskin, F. M. Goodspeed, J. Korevaar, A. L. Shields and H. P. Thielman. MR 589888
  • 2. B. Ya. Levin, Lectures on entire functions, Translations of Mathematical Monographs, vol. 150, American Mathematical Society, Providence, RI, 1996. In collaboration with and with a preface by Yu. Lyubarskii, M. Sodin and V. Tkachenko; Translated from the Russian manuscript by Tkachenko. MR 1400006
  • 3. Paul Koosis, The logarithmic integral. I, Cambridge Studies in Advanced Mathematics, vol. 12, Cambridge University Press, Cambridge, 1988. MR 961844
    Paul Koosis, The logarithmic integral. II, Cambridge Studies in Advanced Mathematics, vol. 21, Cambridge University Press, Cambridge, 1992. MR 1195788
  • 4. B. N. Khabibullin, Completeness of systems of exponentials and sets of uniqueness, Bashkir. Univ., Ufa, 2006. (Russian)

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Additional Information

S. Yu. Favorov
Affiliation: Department of Mathematics, Kharkov National University, Svobody Square 4, Kharkov 61077, Ukraine
Email: favorov_s@mail.ru, fav@univer.kharkov.ua

DOI: http://dx.doi.org/10.1090/S1061-0022-08-01039-X
Keywords: Entire function of exponential type, Cartwright's function, zero set
Received by editor(s): July 7, 2006
Published electronically: November 13, 2008
Article copyright: © Copyright 2008 American Mathematical Society